Lifetime Calculations
  • The calculated values shown below are found using Version 1.b of the adjustable parameters.
  • Observed values1 are found from many different laboratory experiments. Anti-particles are not yet included in the comparison although they should be if they are distinct measurements.
  • Formulae for the lifetime calculations are discussed here.
  • Here is a list of the quark coefficients used.
  • Calculations that are within experimental error are noted with a green check mark.
  • For a spreadsheet that details these calculations, click here.
Particle calculated
lifetime		 observed
lifetime		 observed
uncertainty		 units
(s)		 ok? ∆ τ%
\mbox{\fontsize{14}{18}\selectfont $ \sf{p}^{+} $} 1.2 x1052 >1032 x10 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}}
\mbox{\fontsize{14}{18}\selectfont $ \sf{p}^{-} $} 1.2 x1052 x10
\mbox{\fontsize{14}{18}\selectfont $ \sf{e}^{-} $} 27,730 >1 x1034 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}}
\mbox{\fontsize{14}{18}\selectfont $ \sf{e}^{+} $} 27,730 x1034
\mbox{\fontsize{14}{18}\selectfont $ \sf{\mu}^{-} $} 2.197 070 2.197 03 ±0.000 04 x10-6 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.002
\mbox{\fontsize{14}{18}\selectfont $ \sf{\mu}^{+} $} 2.197 070 x10-6
Neutrinos calculated
lifetime		 observed
lifetime		 observed
uncertainty		 units
(s)		 ok? ∆ τ%
\mbox{\fontsize{14}{18}\selectfont $ \nu_{\sf{e}} $} 1 x1090
\mbox{\fontsize{14}{18}\selectfont $ \overline{\nu}_{\sf{e}} $} 1 x1090
\mbox{\fontsize{14}{18}\selectfont $ \nu_{\sf{\mu}} $} 9 x1045
\mbox{\fontsize{14}{18}\selectfont $ \overline{\nu}_{\sf{\mu}} $} 9 x1045
\mbox{\fontsize{14}{18}\selectfont $ \nu_{\tau} $} 1 x1068
\mbox{\fontsize{14}{18}\selectfont $ \overline{\nu}_{\tau} $} 1 x1068
Pions calculated
lifetime		 observed
lifetime		 observed
uncertainty		 units
(s)		 ok? ∆ τ%
\mbox{\fontsize{14}{18}\selectfont $ \sf{\pi}^{-} $} 2.610 64 2.603 3 ±0.000 5 x10-8 \color{red} \LARGE{\pmb{\times}} +0.3
\mbox{\fontsize{14}{18}\selectfont $ \sf{\pi}^{+} $} 2.610 64 x10-8
\mbox{\fontsize{14}{18}\selectfont $ \sf{\pi}^{\circ} $} 8.401 8.40 ±0.60 x10-17 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.006
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\pi}}^{\circ} $} 8.401 x10-17
Kaons calculated
lifetime		 observed
lifetime		 observed
uncertainty		 units
(s)		 ok? ∆ τ%
\mbox{\fontsize{14}{18}\selectfont $ \sf{K}^{-} $} 1.239 6 1.239 ±0.002 x10-8 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.09
\mbox{\fontsize{14}{18}\selectfont $ \sf{K}^{+} $} 1.239 6 x10-8
\mbox{\fontsize{14}{18}\selectfont $ \sf{K}^{\circ}_{\sf{L}} $} 5.085 5.11 ±0.02 x10-8 \color{red} \LARGE{\pmb{\times}} -0.6
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{K}}^{\circ}_{\sf{L}} $} 5.085 x10-8
\mbox{\fontsize{14}{18}\selectfont $ \sf{K}^{\circ}_{\sf{S}} $} 8.987 1 8.956 ±0.005 x10-11 \color{red} \LARGE{\pmb{\times}} +0.3
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{K}}^{\circ}_{\sf{S}} $} 8.987 1 x10-11
\mbox{\fontsize{14}{18}\selectfont $ \sf{K}^{*+} $} 6.452 6.48 ±0.11 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.4
\mbox{\fontsize{14}{18}\selectfont $ \sf{K}^{*-} $} 6.452 x10-24
\mbox{\fontsize{14}{18}\selectfont $ \sf{K}^{*\circ} $} 6.506 6.54 ±0.08 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.6
\mbox{\fontsize{14}{18}\selectfont $ \overline{ \sf{K}}^{\,*\circ} $} 6.506 x10-24
Baryons calculated
lifetime		 observed
lifetime		 observed
uncertainty		 units
(s)		 ok? ∆ τ%
\mbox{\fontsize{14}{18}\selectfont $ \sf{n} $} 885.28 885.7 ±0.8 x10 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.05
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{n}} $} 885.28 x10
\mbox{\fontsize{14}{18}\selectfont $ \Delta^{++} $} 2.756 2.79 ±0.05 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -1
\mbox{\fontsize{14}{18}\selectfont $ \overline{\Delta^{++}} $} 2.756 x10-24
\mbox{\fontsize{14}{18}\selectfont $ \Delta^{+}} $} 2.800 2.79 ±0.05 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.4
\mbox{\fontsize{14}{18}\selectfont $ \overline{\Delta^{+}} $} 2.800 x10-24
\mbox{\fontsize{14}{18}\selectfont $ \Delta^{\circ} $} 2.828 2.79 ±0.05 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +1
\mbox{\fontsize{14}{18}\selectfont $ \overline{\Delta} ^{\circ} $} 2.828 x10-24
\mbox{\fontsize{14}{18}\selectfont $ \Delta^{-} $} 2.759 2.79 ±0.05 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -1
\mbox{\fontsize{14}{18}\selectfont $ \overline{\Delta^{-}} $} 2.759 x10-24
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Lambda} $} 2.643 2.63 ±0.02 x10-10 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.4
\mbox{\fontsize{14}{18}\selectfont $ \overline{ \sf{\Lambda}} $} 2.643 x10-10
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Sigma}^{+} $} 7.993 8.02 ±0.03 x10-11 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.3
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\Sigma}^{+}} $} 7.993 x10-11
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Sigma}^{\circ} $} 7.69 7.4 ±0.7 x10-20 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +4
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\Sigma}} ^{\circ} $} 7.69 x10-20
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Sigma}^{-}} $} 1.480 1.48 ±0.01 x10-10 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.04
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\Sigma}^{-}} $} 1.480 x10-10
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Xi}^{-}} $} 1.637 1.64 ±0.02 x10-10 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.1
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\Xi}^{-}} $} 1.637 x10-10
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Xi}^{\circ} $} 2.847 2.90 ±0.09 x10-10 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -2
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\Xi}} ^{\circ} $} 2.847 x10-10
\mbox{\fontsize{14}{18}\selectfont $ \Omega^{-} $} 8.22 8.2 ±0.1 x10-11 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.07
\mbox{\fontsize{14}{18}\selectfont $ \overline{\Omega^{-}} $} 8.22 x10-11
Mesons calculated
lifetime		 observed
lifetime		 observed
uncertainty		 units
(s)		 ok? ∆ τ%
\mbox{\fontsize{14}{18}\selectfont $ \rho^{\circ} $} 2.209 2.20 ±0.01 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.3
\mbox{\fontsize{14}{18}\selectfont $ \overline{\rho}^{\circ}} $} 2.209 x10-24
\mbox{\fontsize{14}{18}\selectfont $ \rho^{-}} $} 2.191 2.20 ±0.01 x10-24 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.5
\mbox{\fontsize{14}{18}\selectfont $ \rho^{+}} $} 2.191 x10-24
\mbox{\fontsize{14}{18}\selectfont $ \omega $} 3.864 3.88 ±0.04 x10-23 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.3
\mbox{\fontsize{14}{18}\selectfont $ \overline{\omega} $} 3.864 x10-23
\mbox{\fontsize{14}{18}\selectfont $ \eta $} 2.59 2.5 ±0.1 x10-19 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +2
\mbox{\fontsize{14}{18}\selectfont $ \overline{\eta} $} 2.59 x10-19
\mbox{\fontsize{14}{18}\selectfont $ \eta^{\prime} $} 1.65 1.6 ±0.1 x10-21 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +2
\mbox{\fontsize{14}{18}\selectfont $ \overline{\eta}^{\prime}} $} 1.65 x10-21
\mbox{\fontsize{14}{18}\selectfont $ \phi $} 7.772 7.73 ±0.09 x10-23 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.6
\mbox{\fontsize{14}{18}\selectfont $ \overline{\phi} $} 7.772 x10-23
Leptons calculated
lifetime		 observed
lifetime		 observed
uncertainty		 units
(s)		 ok? ∆ τ%
\mbox{\fontsize{14}{18}\selectfont $ \tau^{+}} $} 2.911 2.91 ±0.01 x10-13 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.2
\mbox{\fontsize{14}{18}\selectfont $ \tau^{-}} $} 2.911 x10-13
Footnotes
page_revision: 58, last_edited: 1255845039|%e %b %Y, %H:%M %Z (%O ago)
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